Search a number
-
+
470844 = 2232112941
BaseRepresentation
bin1110010111100111100
3212220212200
41302330330
5110031334
614031500
74000503
oct1627474
9786780
10470844
112a1830
121a8590
1313640a
14c383a
1594799
hex72f3c

470844 has 72 divisors (see below), whose sum is σ = 1375920. Its totient is φ = 134400.

The previous prime is 470837. The next prime is 470863. The reversal of 470844 is 448074.

It is a congruent number.

It is an unprimeable number.

470844 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11464 + ... + 11504.

It is an arithmetic number, because the mean of its divisors is an integer number (19110).

2470844 is an apocalyptic number.

470844 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960).

470844 is an abundant number, since it is smaller than the sum of its proper divisors (905076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

470844 is a wasteful number, since it uses less digits than its factorization.

470844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 470844 is about 686.1807342093. The cubic root of 470844 is about 77.7963127406.

The spelling of 470844 in words is "four hundred seventy thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 41 44 58 66 82 87 99 116 123 132 164 174 198 246 261 319 348 369 396 451 492 522 638 738 902 957 1044 1189 1276 1353 1476 1804 1914 2378 2706 2871 3567 3828 4059 4756 5412 5742 7134 8118 10701 11484 13079 14268 16236 21402 26158 39237 42804 52316 78474 117711 156948 235422 470844